2013•Journal of Tonghua Normal UniversityRequires access

Sensitivity Analysis of Continuous Chaotic Signals

Yingmin Liu

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Abstract

In this paper,the bifurcation diagram and Lipschitz exponent spectrum of two types of continuous chaotic equations are numerically calculated,meanwhile analog simulating the chaotic attractor of the two types of chaotic systems,and on this basis by numerical simulation discussing the chaotic dynamic behaviors of the third kind of continuous differential equations,gets the corresponding chaotic attractor.

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What this paper is about

In this paper,the bifurcation diagram and Lipschitz exponent spectrum of two types of continuous chaotic equations are numerically calculated,meanwhile analog simulating the chaotic attractor of the two types of chaotic systems,and on this basis by numerical simulation discussing the chaotic dynamic behaviors of the third kind of continuous differential equations,gets the corresponding chaotic attractor.

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Available abstract

In this paper,the bifurcation diagram and Lipschitz exponent spectrum of two types of continuous chaotic equations are numerically calculated,meanwhile analog simulating the chaotic attractor of the two types of chaotic systems,and on this basis by numerical simulation discussing the chaotic dynamic behaviors of the third kind of continuous differential equations,gets the corresponding chaotic attractor.

Key concepts: Attractor, Chaotic, Rössler attractor, Crisis, Bifurcation diagram, Chaotic hysteresis, Sensitivity (control systems), Bifurcation

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